Wednesday, May 23, 2001

Round 10

Date Released: May 23rd, 2001.
Date Rewarded: May 30rd, 2001.

Siya the Usuki Doll (pictured above) is 9 years older than her brother, and 25 years younger than her father. In seven years time her father will be three times older than her brother. How old is Siya now?

Prize
Unknown

Click to show/hide solution

Let x be Siya's age, y be her brother's age and z be her father's age. We know:
y = x - 9
z = x + 25

In seven years, her brother's age and her father's age will be x - 2 and x + 32 respectively (add 7 to y and z). Her father's age will be three times her brother's age then. Therefore,
x + 32 = 3 * (x - 2) <=> x + 32 = 3x - 6 <=> 2x = 38 <=> x = 19

Therefore, Siya is 19 years old now.

Check: her brother's age = 10, her father's age = 44. In seven years, her father's age = 51, three times as much as her brother's age = 17.

Note: The picture is missing.

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